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Givental action is gauge symmetry in a homotopy Lie algebra

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If you have a question about this talk, please contact Mustapha Amrani.

Grothendieck-Teichmller Groups, Deformation and Operads

In this talk, I shall explain the mystery of hypercommutative algebras (=genus 0 cohomological field theories): it has been known for a while that the space of hypercommutative algebra structures on a given vector space possesses an unusually large group of symmetries. I shall explain how that appears naturally as a group of gauge symmetries of Maurer—Cartan elements in a certain homotopy Lie algebra. The existence of that homotopy algebra is still a result of several wonderful coincidences, but somehow I shall explain precisely what coincidences one should be hunting for in order for that sort of phenomena to occur.

This talk is part of the Isaac Newton Institute Seminar Series series.

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